Use the tables to determine which function will eventually exceed the other, and provide your reasoning.

x f(x)
−1 .333
0 1
1 3
2 9

x g(x)
−1 5
0 4
1 5
2 8

f(x) will eventually exceed g(x) because f(x) has a higher rate of change.
f(x) will eventually exceed g(x) because f(x) is an exponential function.
g(x) will eventually exceed f(x) because g(x) has a higher rate of change.
g(x) will eventually exceed f(x) because g(x) is an exponential function.

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Answer:

The answer is f(x) will eventually exceed g(x) because f(x) is an exponential function.

I just took the test and got it right.

Step-by-step explanation:

Based on the given table, we can say that  f(x) will eventually exceed g(x) because f(x) is an exponential function.

What is an exponential function?

An exponential function can be written in the following form

[tex]f ( x ) = a^x.[/tex]

x= variable,

a= constant called the base of the function.

Therefore based on the given table, we can say that   f(x) will eventually exceed g(x) because f(x) is an exponential function.

So the option b is correct.

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